Exam 6: Time Value of Money

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An increase in the frequency of compounding will increase the future value of an investment if all other factors are held constant.

(True/False)
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The lease on a new office requires an immediate payment of $24,000 plus $24,000 per year at the end of each of the next 10 years. At a discount rate of 14 percent, what is the present value of this stream of lease payments?

(Multiple Choice)
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More frequent compounding results in ____ future values and ____ present values than less frequent compounding at the same nominal interest rate.

(Multiple Choice)
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Which of the following phrases would not be utilized if the payments were an annuity due?

(Multiple Choice)
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You know you will need $25,000 at the end of 5 years. How much would you have to deposit annually, starting at the end of the first year, into an account earning 10% to accumulate the needed amount?

(Multiple Choice)
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Mindy is saving for her wedding in 18 months which is expected to cost $15,000.  How much will she need to save monthly at 6% compounded monthly?

(Multiple Choice)
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First Bank offers you a car loan at an annual interest rate of 10% compounded monthly. What effective annual interest rate is the bank charging you?

(Multiple Choice)
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Jim Luster wants to have saved enough money by the time he is 65 to invest it and earn a $60,000 annual income for the rest of his life. He wants to be able to leave that same amount to his heirs, no matter how long he lives. If he can earn 8% on invested money, how much does he need to have accumulated by the time he is 65?

(Multiple Choice)
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If the discount rate is 12%, what is the present value of the following cash flows: If the discount rate is 12%, what is the present value of the following cash flows:

(Multiple Choice)
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Assume that you have just won $5,000,000 in the lottery and will receive $250,000 per year for the next 20 years. How much is your prize worth today if the interest rate is 8%?

(Multiple Choice)
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You have borrowed $180,000 to buy a new home. You plan to make monthly payments over a 25-year period. The bank has offered you a 10% interest rate compounded monthly. Calculate the total amount of interest you will pay the bank over the life of the loan.

(Multiple Choice)
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An annuity is a finite stream of equal payments occurring at regular or irregular time intervals

(True/False)
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Five years after an accident, you received $100,000 to pay the medical expenses incurred at the time of the accident. What is the present value (at the time of the accident)of the payment? Assume interest rates are 9%.

(Multiple Choice)
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The lower the interest rate, the less money you have to put in the bank today have a given amount at some point in the future.

(True/False)
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An increase in the number of time periods reduces the present value of an annuity if all other variables are held constant.

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The process of finding present values is frequently called:

(Multiple Choice)
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The effective annual rate will increase as the number of compounding periods per year increases.

(True/False)
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Which of the following cash flows has the highest present value (PV)at a 15 percent discount rate?

(Multiple Choice)
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A sum of money promised you at a time in the future is worth only as much as you would have to put in a bank today to have that sum available at that point in time.

(True/False)
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Compound interest occurs when interest is earned on interest.

(True/False)
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